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The reactance of a coil is 157 Omega. On...

The reactance of a coil is `157 Omega`. On connecting the coil across a source of frequency 100 Hz, the current lags behind the e.m.f. by `45^(@)`. What is the inductance of the coil?

A

0.25 H

B

0.5 H

C

4 H

D

314 H

Text Solution

Verified by Experts

The correct Answer is:
A
`X_(L) = omegaL = 2 pi f L`
`:. L = (X_L)/(2 pi f) = (157)/( 2 xx 314) = 1/4`
`:. L = 0.25 H`.
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MARVEL PUBLICATION-ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS -TEST YOUR GRASP - 16
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